2025 袋鼠数学 D-Cadet 真题 答案 详解
2025-04-03 mathkangaroo mathkangaroo D-Cadet
| 序号 | 文件列表 | 说明 | ||
|---|---|---|---|---|
| 1 | 2025-D-Cadet-paper-eng-zh.pdf | 11 页 | 1.07MB | 中英双语真题 |
| 2 | 2025-D-Cadet-solution-eng.pdf | 14 页 | 626.29KB | 真题文字详解(英文) |
中英双语真题
MATH KANGAROO CHINA MATH KANGAROO 2025 (CHINA) - LEVEL D 阿思丹 ASEEDE R 3 points 1. Lisa has four wooden digits. She can use them to form the number 2025. Which of the following numbers is the largest she can form with these digits? Lisa 有四个木制的数字块。她可以利用这些数字块拼出数字 2025。请问以下哪一项是她可以用这些数字块拼出的最大数字？ (A) 2502 (B) 5202 (C) 5220 (D) 5502 (E) 5520 2. Sandra rolls three dice and gets a total of 8. All three dice show a different number of dots. Which number of dots could Sandra not have rolled on any of her dice? Sandra 掷出三枚骰子，总点数为 8。三枚骰子显示的点数各不相同。请问 Sandra 不可能掷出以下哪个点数？ (A) (B) (C) (D) (E) 3. Isabelle rotates the hexagonal sheet of paper, as shown. Each rotation turns the hexagon through the same angle in the same direction. The figure shows the result of one rotation. Which of these numbers of rotations would leave the sheet looking the same as it did at the start? Isabelle 旋转一张六边形纸张，如图所示。每次旋转，六边形都朝同一方向旋转相同角度。图中展示了旋转一次后的结果。 请问旋转多少次后，这张纸看起来和初始状态时一样？ (A) 7 (B) 8 (C) 9 (D) 10 (E) 12
真题文字详解(英文)
Cadet Finalized Cadet 3 points 1. Lisa has four wooden digits. She can use them to form the number 2025. Which of the following numbers is the largest she can form with these digits? (A) 2502 (B) 5202 (C) 5220 (D) 5502 (E) 5520 Solution: To get the maximum number digits must be arranged from highest to lowest hence 5220. 2. Sandra rolls three dice and gets a total of 8. All three dice show a different number of dots. Which number of dots could Sandra not have rolled on any of her dice? (A) (B) (C) (D) (E) Solution: To get 8 as the sum of three distinct numbers 1-6, the only possibilities are 5+2+1 and 4+3+1. Hence 6 is the number of dots she could not have rolled. 3. Isabelle rotates the hexagonal sheet of paper, as shown. Each rotation turns the hexagon through the same angle in the same direction. The figure shows the result of one rotation. Which of these numbers of rotations would leave the sheet looking the same as it did at the start? (A) 7 (B) 8 (C) 9 (D) 10 (E) 12 Solution: The sheet looks like in the beginning after a number of rotations that is divisible by 6. The only number in the answers divisible by 6 is 12.
